{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "995dbe81-afbd-4f7a-a302-b26e2e5891cf",
   "metadata": {},
   "source": [
    "# Electric Grid Optimization using QAOA"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b3941323-c9cd-4b67-a7df-bdcf7c595aaf",
   "metadata": {},
   "source": [
    "We have a set of N power plants (sources), and M consumers. The goal is to supply power to all consumers, meeting the constraints of the power plants, and minimize the total cost of supplying power. The presented model has small variation from [[1](#OpPwer)]."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ec1fe927-a34b-4d76-b729-3a9c109a4f87",
   "metadata": {},
   "source": [
    "Mathematical model, minimize the objective function:\n",
    "\n",
    "$$z = \\sum_{i=1}^{n} \\sum_{j=1}^{m} Z_{ij}x_{ij}$$\n",
    "\n",
    "where $x_{ij}$ is the required values of the transmitted power from source $A_i$ to consumer $B_j$.\n",
    "\n",
    "The unit cost of transmitting power from node $A_i$ to node $B_j$ is $Z_{ij}$.\n",
    "\n",
    "Constraint to:\n",
    "\n",
    "The sum of powers flowing from power plant transmission lines to all customer nodes must be up to the power of the source $A_i$\n",
    "\n",
    "$$ \\sum_{j=1}^{M} x_{ij} \\leq A_{i}   \\quad    i=1,2,...,N$$\n",
    "\n",
    "Each consumer recieve power $B_{j}$:\n",
    "\n",
    "$$ \\sum_{i=1}^{N} x_{ij} = B_{j}   \\quad    j=1,2,...,M$$\n",
    "\n",
    "We take $B_{j} = 1$ and $A_{i} = 2$ in the following example.\n",
    "\n",
    "Notice that we use 2 kinds of constraints, equality and inequality."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dbc5db45-6d1d-4a61-8596-ffcc4bae978a",
   "metadata": {},
   "source": [
    "## Building the problem"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "dfdf4e93-c86f-47b0-9ced-7e4c6a2447f1",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T16:04:04.062042Z",
     "iopub.status.busy": "2024-05-07T16:04:04.061832Z",
     "iopub.status.idle": "2024-05-07T16:04:05.541487Z",
     "shell.execute_reply": "2024-05-07T16:04:05.540719Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from itertools import product\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import networkx as nx  # noqa\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "\n",
    "# building data matrix, it doesn't need to be a symmetric matrix.\n",
    "cost_matrix = np.array(\n",
    "    [[0.5, 1.0, 1.0, 2.1], [1.0, 0.6, 1.4, 1.0], [1.0, 1.4, 0.4, 2.3]]\n",
    ")\n",
    "\n",
    "Sources = [\"A1\", \"A2\", \"A3\"]\n",
    "Consumers = [\"B1\", \"B2\", \"B3\", \"B4\"]\n",
    "\n",
    "# number of sources\n",
    "N = len(Sources)\n",
    "# number of consumers\n",
    "M = len(Consumers)\n",
    "\n",
    "graph = nx.DiGraph()\n",
    "graph.add_nodes_from(Sources + Consumers)\n",
    "for n, m in product(range(N), range(M)):\n",
    "    graph.add_edges_from([(Sources[n], Consumers[m])], weight=cost_matrix[n, m])\n",
    "\n",
    "\n",
    "# Plot the graph\n",
    "plt.figure(figsize=(10, 6))\n",
    "left = nx.bipartite.sets(graph)[0]\n",
    "pos = nx.bipartite_layout(graph, left)\n",
    "\n",
    "nx.draw_networkx(graph, pos=pos, nodelist=Consumers, font_size=22, font_color=\"None\")\n",
    "nx.draw_networkx_nodes(\n",
    "    graph, pos, nodelist=Consumers, node_color=\"#119DA4\", node_size=500\n",
    ")\n",
    "for fa in Sources:\n",
    "    x, y = pos[fa]\n",
    "    plt.text(\n",
    "        x,\n",
    "        y,\n",
    "        s=fa,\n",
    "        bbox=dict(facecolor=\"#F43764\", alpha=1),\n",
    "        horizontalalignment=\"center\",\n",
    "        fontsize=15,\n",
    "    )\n",
    "\n",
    "nx.draw_networkx_edges(graph, pos, width=2)\n",
    "labels = nx.get_edge_attributes(graph, \"weight\")\n",
    "nx.draw_networkx_edge_labels(graph, pos, edge_labels=labels, font_size=12)\n",
    "nx.draw_networkx_labels(\n",
    "    graph,\n",
    "    pos,\n",
    "    labels={co: co for co in Consumers},\n",
    "    font_size=15,\n",
    "    font_color=\"#F4F9E9\",\n",
    ")\n",
    "\n",
    "plt.axis(\"off\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8feca70d-5a26-41d0-847d-04a97c61137e",
   "metadata": {},
   "source": [
    "### building the pyomo model - classical combinatorial optimization problem"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "7cd709da-2feb-43da-b45c-b99c299b4b8b",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T16:04:05.545686Z",
     "iopub.status.busy": "2024-05-07T16:04:05.545230Z",
     "iopub.status.idle": "2024-05-07T16:04:05.806453Z",
     "shell.execute_reply": "2024-05-07T16:04:05.805663Z"
    }
   },
   "outputs": [],
   "source": [
    "from typing import List, Tuple, cast  # noqa\n",
    "\n",
    "import pyomo.environ as pyo\n",
    "from IPython.display import Markdown, display\n",
    "\n",
    "opt_model = pyo.ConcreteModel()\n",
    "\n",
    "sources_lst = range(N)\n",
    "consumers_lst = range(M)\n",
    "\n",
    "opt_model.x = pyo.Var(sources_lst, consumers_lst, domain=pyo.Binary)\n",
    "\n",
    "\n",
    "@opt_model.Constraint(sources_lst)\n",
    "def source_supply_rule(model, n):  # constraint (1)\n",
    "    return sum(model.x[n, m] for m in consumers_lst) <= 2\n",
    "\n",
    "\n",
    "@opt_model.Constraint(consumers_lst)\n",
    "def each_consumer_is_supplied_rule(model, m):  # constraint (2)\n",
    "    return sum(model.x[n, m] for n in sources_lst) == 1\n",
    "\n",
    "\n",
    "opt_model.cost = pyo.Objective(\n",
    "    expr=sum(\n",
    "        cost_matrix[n, m] * opt_model.x[n, m]\n",
    "        for n in sources_lst\n",
    "        for m in consumers_lst\n",
    "    ),\n",
    "    sense=pyo.minimize,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "206fee15-6c22-443d-af0a-9251c499bebc",
   "metadata": {},
   "source": [
    "Printing the classical optimization problem"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "adbe0aaf-b592-41d0-936d-72f60164142e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T16:04:05.811678Z",
     "iopub.status.busy": "2024-05-07T16:04:05.810510Z",
     "iopub.status.idle": "2024-05-07T16:04:05.815184Z",
     "shell.execute_reply": "2024-05-07T16:04:05.814524Z"
    }
   },
   "outputs": [],
   "source": [
    "# opt_model.pprint()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a79756d9-0cbd-4417-97b7-869ba7732989",
   "metadata": {},
   "source": [
    "## Solving with Classiq\n",
    "We take a specific example: the one outlined above.\n",
    "\n",
    "### First generating parameters for the qauntum circuit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "65d37686-873e-4f04-a207-8f04dab7fc23",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T16:04:05.819895Z",
     "iopub.status.busy": "2024-05-07T16:04:05.818740Z",
     "iopub.status.idle": "2024-05-07T16:04:07.898134Z",
     "shell.execute_reply": "2024-05-07T16:04:07.897282Z"
    }
   },
   "outputs": [],
   "source": [
    "from classiq import (\n",
    "    Preferences,\n",
    "    construct_combinatorial_optimization_model,\n",
    "    set_preferences,\n",
    ")\n",
    "from classiq.applications.combinatorial_optimization import OptimizerConfig, QAOAConfig\n",
    "\n",
    "qaoa_config = QAOAConfig(num_layers=5, penalty_energy=3.0)\n",
    "# the penalty_energy influence the convergence to the right solution."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8b78c9d7-3cac-4f5d-ba57-6bb0b04cac07",
   "metadata": {},
   "source": [
    "For the classical optimization part of the QAOA algorithm (`OptimizerConfig`) we define the maximum number of iterations of the hybrid algorithm(`max_iteration`) and the $\\alpha$-parameter (`alpha_cvar`) for running CVaR-QAOA, an improved variation of the QAOA algorithm:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "4923e39f-c497-413d-a832-1656594b6ada",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T16:04:07.901605Z",
     "iopub.status.busy": "2024-05-07T16:04:07.900694Z",
     "iopub.status.idle": "2024-05-07T16:04:07.904292Z",
     "shell.execute_reply": "2024-05-07T16:04:07.903706Z"
    }
   },
   "outputs": [],
   "source": [
    "optimizer_config = OptimizerConfig(\n",
    "    max_iteration=100,\n",
    "    alpha_cvar=1,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ec0491fb-fbe5-4b5e-845a-a4ed48dab919",
   "metadata": {},
   "source": [
    "Combining all the parts together using `construct_combinatorial_optimization_model` to get a `SeralizedModel` which include `pyomo.ConcreteModel`, `QAOAConfig`, and `OptimizerConfig`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "8972cb39-3dd2-4930-9f57-a448eae0e7fe",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T16:04:07.906974Z",
     "iopub.status.busy": "2024-05-07T16:04:07.906415Z",
     "iopub.status.idle": "2024-05-07T16:04:16.397515Z",
     "shell.execute_reply": "2024-05-07T16:04:16.396886Z"
    }
   },
   "outputs": [],
   "source": [
    "qmod = construct_combinatorial_optimization_model(\n",
    "    pyo_model=opt_model,\n",
    "    qaoa_config=qaoa_config,\n",
    "    optimizer_config=optimizer_config,\n",
    ")\n",
    "\n",
    "# defining cosntraint such as computer and parameters for a quicker and more optimized circuit.\n",
    "preferences = Preferences(transpilation_option=\"none\", timeout_seconds=3000)\n",
    "\n",
    "qmod = set_preferences(qmod, preferences)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2ad2070e-3d16-4b2c-a9e8-a68506ba6430",
   "metadata": {},
   "source": [
    "Now we can create a quantum circuit using the `synthesize` command and show it"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "1032fb02-17ce-4534-8845-b75d149e8fb4",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T16:04:16.400635Z",
     "iopub.status.busy": "2024-05-07T16:04:16.400418Z",
     "iopub.status.idle": "2024-05-07T16:04:16.464566Z",
     "shell.execute_reply": "2024-05-07T16:04:16.463936Z"
    }
   },
   "outputs": [],
   "source": [
    "from classiq import write_qmod\n",
    "\n",
    "write_qmod(qmod, \"electric_grid_optimization\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "4e057ddc-1f99-464e-99e4-cb31e885a07b",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T16:04:16.467538Z",
     "iopub.status.busy": "2024-05-07T16:04:16.466919Z",
     "iopub.status.idle": "2024-05-07T16:04:25.452696Z",
     "shell.execute_reply": "2024-05-07T16:04:25.451931Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Opening: https://platform.classiq.io/circuit/f21658ea-a358-4aad-a5e8-096d4c16bed7?version=0.41.0.dev39%2B79c8fd0855\n"
     ]
    }
   ],
   "source": [
    "from classiq import show, synthesize\n",
    "\n",
    "qprog = synthesize(qmod)\n",
    "show(qprog)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6a3f6f40-1b5b-4c48-9508-115096a948f2",
   "metadata": {},
   "source": [
    "We now execute the problem iteratively by calling the `execute` function on the quantum program we have generated:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "f0e5e58a-f97c-47bc-b16b-1185e0a17b96",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T16:04:25.457663Z",
     "iopub.status.busy": "2024-05-07T16:04:25.456404Z",
     "iopub.status.idle": "2024-05-07T16:07:16.006361Z",
     "shell.execute_reply": "2024-05-07T16:07:16.005610Z"
    }
   },
   "outputs": [],
   "source": [
    "from classiq import execute\n",
    "\n",
    "res = execute(qprog).result()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "954c7a4f-ec86-46cb-93ea-d04dfcf0d985",
   "metadata": {},
   "source": [
    "We can check the convergence of the run:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "af2b4f18-b829-47a8-82ac-c3e0fb4a6894",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T16:07:16.011389Z",
     "iopub.status.busy": "2024-05-07T16:07:16.010151Z",
     "iopub.status.idle": "2024-05-07T16:07:16.042190Z",
     "shell.execute_reply": "2024-05-07T16:07:16.041486Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/jpeg": "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",
      "image/png": "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",
      "text/plain": [
       "<PIL.JpegImagePlugin.JpegImageFile image mode=RGB size=640x480>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from classiq.execution import VQESolverResult\n",
    "\n",
    "vqe_result = res[0].value\n",
    "vqe_result.convergence_graph"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6d92f27a-6e9c-44ac-8fd2-63928cdd3161",
   "metadata": {},
   "source": [
    "## Get best solution statistics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "d2d48631-eba8-42e1-b2e1-6de68084cbdc",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T16:07:16.046805Z",
     "iopub.status.busy": "2024-05-07T16:07:16.045670Z",
     "iopub.status.idle": "2024-05-07T16:07:23.884990Z",
     "shell.execute_reply": "2024-05-07T16:07:23.884259Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>probability</th>\n",
       "      <th>cost</th>\n",
       "      <th>solution</th>\n",
       "      <th>count</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>160</th>\n",
       "      <td>0.001</td>\n",
       "      <td>3.6</td>\n",
       "      <td>[1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0]</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.003</td>\n",
       "      <td>4.1</td>\n",
       "      <td>[0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0]</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>435</th>\n",
       "      <td>0.001</td>\n",
       "      <td>4.1</td>\n",
       "      <td>[0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0]</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0.002</td>\n",
       "      <td>4.1</td>\n",
       "      <td>[0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0]</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>802</th>\n",
       "      <td>0.001</td>\n",
       "      <td>4.3</td>\n",
       "      <td>[0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1]</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     probability  cost                              solution  count\n",
       "160        0.001   3.6  [1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0]      1\n",
       "0          0.003   4.1  [0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0]      3\n",
       "435        0.001   4.1  [0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0]      1\n",
       "5          0.002   4.1  [0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0]      2\n",
       "802        0.001   4.3  [0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1]      1"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "\n",
    "from classiq.applications.combinatorial_optimization import (\n",
    "    get_optimization_solution_from_pyo,\n",
    ")\n",
    "\n",
    "solution = get_optimization_solution_from_pyo(\n",
    "    opt_model, vqe_result=vqe_result, penalty_energy=qaoa_config.penalty_energy\n",
    ")\n",
    "\n",
    "optimization_result = pd.DataFrame.from_records(solution)\n",
    "optimization_result.sort_values(by=\"cost\", ascending=True).head(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "21c3056d-6475-40a4-88dc-9e3703510827",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T16:07:23.889802Z",
     "iopub.status.busy": "2024-05-07T16:07:23.888586Z",
     "iopub.status.idle": "2024-05-07T16:07:24.247686Z",
     "shell.execute_reply": "2024-05-07T16:07:24.246999Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlIAAAG7CAYAAAAIfHukAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuNSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/xnp5ZAAAACXBIWXMAAA9hAAAPYQGoP6dpAABIBUlEQVR4nO3deVxV5aL/8e8mRmVwwCRTQczUyhwy4jhzvIp1OlnXATVTq+N4qltqnSAL8zrkOTbbMZUSckgyNbuda2iOOZFzZZqICZRxaptBKJPu9fvDy/5JzGuDbDaf9+u1Xy95pvWsdej4da1nP8tiGIYhAAAAVJlbbU8AAACgriJIAQAAmESQAgAAMIkgBQAAYBJBCgAAwCSCFAAAgEkEKQAAAJPca3sCrs5ms+ns2bPy8/OTxWKp7ekAAIBKMAxDv/32m1q0aCE3t7LvOxGkatjZs2fVqlWr2p4GAAAwISMjQy1btiyzniBVw/z8/CRd+R/C39+/lmcDAAAqIzs7W61atbL/PV4WglQNK3qc5+/vT5ACAKCOqWhZDovNAQAATCJIAQAAmESQAgAAMIkgBQAAYBJBCgAAwCSCFAAAgEkEKQAAAJMIUgAAACYRpAAAAEwiSAEAAJhEkAIAADCJIAUAAGASQQoAAMAkghQAAIBJ7rU9AaCy0tPTZbVaTfUNDAxU69atq3lGAID6zqmD1P79+xUbG6s9e/aosLBQnTp10tSpUzV8+PBK9U9NTdXy5ct16NAhHTx4UGfPnlVwcLDOnDlTavuUlBStWbNGn376qU6dOiWr1armzZsrIiJCMTEx6tChQzWeHaoiPT1d7Tt0VF7uRVP9vX0a6NsTxwlTAIBq5bRBatu2bYqMjJS3t7dGjBghPz8/rV27VlFRUcrIyNC0adMqHOPzzz/Xiy++qOuuu04dO3ZUZmZmue2ff/55JSYm6rbbbtPgwYPl7++vr776SsuXL9eHH36oTz/9VH369KmuU0QVWK1W5eVeVNN7p8mjaasq9S08l6Fzn7wsq9VKkAIAVCunDFKXLl3S+PHj5ebmpp07d6pLly6SpBdeeEFhYWGKiYnR0KFDFRwcXO44ffr00d69e9W5c2f5+PjI29u73PaDBg3S3/72N3Xt2rVY+erVqzVy5EhNnjxZx44dc+jc4BiPpq3kFXRTbU8DAABJTrrYfOvWrUpNTdWoUaPsIUqSAgICFBMTo4KCAiUkJFQ4TmhoqMLDw+Xj41Op444bN65EiJKkESNG6Oabb9Y333xjeo0OAABwPU55R2r79u2SpIEDB5aoi4yMlCTt2LHjWk5JHh4ekiR39/IvWX5+vvLz8+0/Z2dn1+i8AABA7XHKO1IpKSmSpHbt2pWoCwoKkq+vr73NtfDFF1/o2LFjuvPOO9WoUaNy286bN08BAQH2T6tWVVvPAwAA6g6nDFJZWVmSrjzKK42/v7+9zbWYy9ixY+Xm5qa///3vFbaPjo5WVlaW/ZORkXENZgkAAGqDUz7acxa5ubl64IEHdOLECc2ZM0f9+vWrsI+Xl5e8vLxqfnIAAKDWOeUdqaI7UWXddcrOzi7zblV1ycvL0+DBg7Vt2zZFR0crJiamRo8HAADqHqcMUkVro0pbB5WZmamcnJxS109Vl9zcXN13333avHmznnnmGc2dO7fGjgUAAOoupwxSffv2lSRt2rSpRF1SUlKxNtUtNzdXgwcP1ubNmzV9+nTNnz+/Ro4DAADqPqcMUv3791doaKhWrVqlI0eO2MuzsrI0d+5ceXp6asyYMfbyH3/8USdOnHB4AXrR47zNmzdr6tSp+sc//uHQeAAAwLU55WJzd3d3xcXFKTIyUn369Cn2ipi0tDQtWLBAISEh9vbR0dFKSEjQsmXLNG7cOHu51WrV9OnT7T8XFhbKarUWa7NgwQIFBgZKkiZNmqTNmzcrKChIfn5+mjlzZom5jRs3rtixAQBA/eWUQUqSIiIitGvXLsXGxioxMdH+0uL58+crKiqqUmPk5OSU2AH9woULxcpmzpxpD1JFLzPOzMzUiy++WOqY/fr1I0gBAABJThykJCksLEwbN26ssF18fLzi4+NLlIeEhMgwjEofr2hHdQAAgMpwyjVSAAAAdQFBCgAAwCSCFAAAgEkEKQAAAJMIUgAAACYRpAAAAEwiSAEAAJhEkAIAADCJIAUAAGASQQoAAMAkghQAAIBJBCkAAACTCFIAAAAmEaQAAABMIkgBAACYRJACAAAwiSAFAABgEkEKAADAJIIUAACASQQpAAAAkwhSAAAAJhGkAAAATCJIAQAAmESQAgAAMIkgBQAAYBJBCgAAwCSCFAAAgEkEKQAAAJMIUgAAACYRpAAAAEwiSAEAAJhEkAIAADCJIAUAAGASQQoAAMAkghQAAIBJBCkAAACTCFIAAAAmEaQAAABMIkgBAACYRJACAAAwiSAFAABgEkEKAADAJIIUAACASU4dpPbv36977rlHjRo1UsOGDRUeHq4PPvig0v1TU1M1c+ZM3XfffbrxxhtlsVgUEhJSYb+kpCT17dtXfn5+8vf3V0REhLZs2eLAmQAAAFfkXtsTKMu2bdsUGRkpb29vjRgxQn5+flq7dq2ioqKUkZGhadOmVTjG559/rhdffFHXXXedOnbsqMzMzAr7rFixQg899JCaNWumcePGSZISExM1YMAAffDBBxo6dKijpwYAAFyExTAMo7Yn8XuXLl1Shw4d9P3332vfvn3q0qWLJCkrK0thYWE6c+aMTp48qeDg4HLHOX36tH766Sd17txZPj4+8vb2VlBQkM6cOVNq+/Pnzys0NFTu7u46fPiwWrZsKUn6/vvv1bVrV/uYfn5+lT6X7OxsBQQEKCsrS/7+/pXuh+IOHTqkO+64Q0FjX5NX0E1V6pufeUqZCU/q4MGD6tatWw3NEADgSir797dTPtrbunWrUlNTNWrUKHuIkqSAgADFxMSooKBACQkJFY4TGhqq8PBw+fj4VOq4a9as0a+//qrHH3/cHqIkqWXLlnrsscdktVq1fv36Kp8PAABwTU4ZpLZv3y5JGjhwYIm6yMhISdKOHTuc8rj5+fnKzs4u9gEAAK7JKYNUSkqKJKldu3Yl6oKCguTr62tvc62OW1RW0XHnzZungIAA+6dVq1bVPk8AAOAcnDJIZWVlSbryKK80/v7+9jbX6rhFz0crOm50dLSysrLsn4yMjGqfJwAAcA5O+629usrLy0teXl61PQ1Uo/T0dFmtVlN9AwMD1bp162qeEQDAWThlkCq6I1TW3Z/s7Gw1bty4Ro/btGnTEse8ug3qh/T0dLXv0FF5uRdN9ff2aaBvTxwnTAGAi3LKIHX1eqQ77rijWF1mZqZycnIUFhZWI8c9cOCAUlJSSgSp8tZPwXVZrVbl5V5U03unyaNp1da7FZ7L0LlPXpbVaiVIAYCLcso1Un379pUkbdq0qURdUlJSsTaucFw4P4+mreQVdFOVPlUNXgCAuscpg1T//v0VGhqqVatW6ciRI/byrKwszZ07V56enhozZoy9/Mcff9SJEyccXoA+fPhwBQQE6M0339T3339vL//++++1cOFCBQYG6oEHHnDoGAAAwHU45aM9d3d3xcXFKTIyUn369Cn2ipi0tDQtWLCg2DvzoqOjlZCQoGXLltlf6yJdeSwzffp0+8+FhYWyWq3F2ixYsECBgYGSpMaNG2vhwoV66KGH1K1bN0VFRUm68oqYc+fOKTExsUq7mgMAANfmlEFKkiIiIrRr1y7FxsYqMTFRhYWF6tSpk+bPn28POBXJyckpsQP6hQsXipXNnDnTHqQkafTo0QoMDNTcuXO1bNkyWSwW3XHHHZoxY4b+4z/+o3pODgAAuASnDVKSFBYWpo0bN1bYLj4+XvHx8SXKQ0JCZOZVgoMGDdKgQYOq3A8AANQvTrlGCgAAoC4gSAEAAJhEkAIAADCJIAUAAGASQQoAAMAkghQAAIBJBCkAAACTCFIAAAAmEaQAAABMcuqdzeF60tPTZbVaq9zv+PHjNTAbAAAcQ5DCNZOenq72HToqL/dibU8FAIBqQZDCNWO1WpWXe1FN750mj6atqtQ39/QBZX2+ooZmBgCAOQQpXHMeTVvJK+imKvUpPJdRQ7MBAMA8FpsDAACYRJACAAAwiSAFAABgEkEKAADAJIIUAACASXxrD/WGmU092QgUAFAeghRc3uWc85LFotGjR9f2VAAALoYgBZdny8+RDIONQAEA1Y4ghXqDjUABANWNxeYAAAAmEaQAAABMIkgBAACYRJACAAAwiSAFAABgEkEKAADAJIIUAACASQQpAAAAkwhSAAAAJhGkAAAATCJIAQAAmESQAgAAMIkgBQAAYBJBCgAAwCSCFAAAgEkEKQAAAJMIUgAAACYRpAAAAExyKEidP3++uuYBAABQ57g70rlly5YaNWqU/vrXv6pLly7VNCU4u/T0dFmt1ir3O378eA3MBgCA2uNQkCooKNA777yjd999Vz169NBjjz2mIUOGyN3doWHt9u/fr9jYWO3Zs0eFhYXq1KmTpk6dquHDh1d6jPz8fM2fP1/Lly9XRkaGmjRponvvvVezZ8/W9ddfX6J9bm6uFi1apBUrVui7776TYRgKDg7W8OHD9dhjjykgIKBazq2uSk9PV/sOHZWXe7G2pwIAQK1zKPGkp6fr7bff1tKlS7V7927t2bNHzZs318SJEzVx4kQFBQWZHnvbtm2KjIyUt7e3RowYIT8/P61du1ZRUVHKyMjQtGnTKhzDZrNp8ODBSkpKUnh4uIYMGaKUlBTFxcVpy5Yt2rdvn5o1a2ZvX1hYqIiICCUnJ6tLly4aN26cfS4zZszQ+++/ry+++EINGjQwfV51ndVqVV7uRTW9d5o8mraqUt/c0weU9fmKGpoZAADXnkNrpG644Qa9+OKLSk9P16pVq9SjRw9lZmZq1qxZCg4O1siRI7Vr164qj3vp0iWNHz9ebm5u2rlzp5YsWaKXX35ZR48e1c0336yYmBilpaVVOE5CQoKSkpI0cuRI7dmzRy+99JLWrl2rf/7znzp9+rRmzJhRrP369euVnJysBx54QIcPH9arr76qV199VUeOHNHgwYN17Ngxffjhh1U+H1fk0bSVvIJuqtLHPaB5bU8bAIBqVS3f2nN3d9eIESP0+eef6+jRo/rLX/4iT09PJSYmqm/fvurataveeecd5eXlVWq8rVu3KjU1VaNGjSq29iogIEAxMTEqKChQQkJCheMsXbpUkjRv3jxZLBZ7+cSJExUaGqqVK1cqNzfXXn769GlJ0t13311irD/96U+SpJ9//rlS5wAAAFxftW9/0KlTJy1evFjff/+9pk+fLsMw9OWXX2rChAm68cYb9fzzzys7O7vcMbZv3y5JGjhwYIm6yMhISdKOHTvKHSMvL0/Jyclq3769goODi9VZLBYNGDBAFy5c0IEDB+zlt912myRp48aNJcb717/+JYvFooiIiHKPCwAA6o/qWRX+O59//rkWLlyojz76SJLk6empLl266IsvvtDcuXO1bNkyJSUl6dZbby21f0pKiiSpXbt2JeqCgoLk6+trb1OW1NRU2Wy2Use4euyUlBT17t1b0pW7Tvfff7/Wr1+vrl27ql+/fpKurJH67rvvtGTJEnXr1q3c4+bn5ys/P9/+c0WhEQAA1F3VdkcqNzdXS5YsUefOndWvXz+tWbNGgYGBmjVrltLT07V3716dOHFCw4YN09mzZ8tdLJ6VlSVJZX5Dzt/f397GkTGubidduVO1du1a/e1vf9PRo0f12muv6bXXXtPRo0f1wAMPaMCAAeUeU7ryGDEgIMD+adWqaguyAQBA3eFwkDp16pSeeuop3XjjjZo8ebK++uor3XnnnVqxYoXS0tI0Y8YM+zfj2rVrp9WrV+uuu+7Svn37HJ58dbt48aIeeOABxcfH6/3335fVapXVatXq1av16aefKiwsTGfOnCl3jOjoaGVlZdk/GRkZ12byAADgmnPo0d7dd9+tzZs3y2azycPDQyNGjNATTzyhu+66q9x+t9xyi7744osy64vuIpV11yk7O1uNGzcu9xiVGePqdpI0d+5cffzxx9qwYYPuu+8+e3lUVJS8vb11//33a86cOfZF7KXx8vKSl5dXuXMDAACuwaEglZSUpGbNmmnChAmaMmWKbrjhhkr1u//++9W6desy669ev3THHXcUq8vMzFROTo7CwsLKPUZoaKjc3NzKXEtV2jqsokXmpS0oLyo7fPhwuccFAAD1h0OP9t59911lZGTov//7vysdoiTpz3/+s2JjY8us79u3ryRp06ZNJeqSkpKKtSmLj4+PwsLC9O2335bYc8owDG3evFkNGzZU9+7d7eUFBQWSSt/ioKiMu00AAKCIQ0EqNDS0wjVD0pW7Pzt37qz0uP3791doaKhWrVqlI0eO2MuzsrI0d+5ceXp6asyYMfbyH3/8USdOnCjxGG/ChAmSrqxbMgzDXr548WKdPn1aDz74oHx8fOzlPXv2lCS9+OKLstls9vLLly/bgx/bHwAAgCIOPdqLiIjQuHHj9M4775Tb7u9//7veffddXb58uXKTcndXXFycIiMj1adPn2KviElLS9OCBQsUEhJibx8dHa2EhAQtW7bM/loXSRo7dqwSExP1/vvv67vvvlPfvn116tQprVu3Tm3atNHs2bOLHTcmJkYbNmzQe++9p4MHD+qPf/yjJGnLli365ptv1K5du0q9mgYAANQPDt2RMgyj2J2e6hQREaFdu3apZ8+eSkxM1KJFi9S8eXOtXr260mHGzc1NGzZs0MyZM/Xzzz/r1Vdf1e7du/Xoo49q7969xd6zJ0mtW7fWwYMH9dhjjyk/P1+LFy/WkiVLdPnyZT399NNKTk6ucJE7AACoP2pkQ87fO3/+vLy9vavcLywsrNRdxn8vPj5e8fHxpdZ5eXkpNja23DVZV2vRooXefPPNqkwTKNfx48dN9QsMDCz3SxkAgNpX5SCVnp5e7OecnJwSZUUuXbqkY8eOadOmTWrbtq25GQJ11OWc85LFotGjR5vq7+3TQN+eOE6YAgAnVuUgFRISUuwFwGvXrtXatWvL7WMYhum/TIC6ypafIxmGmt47TR5Nq7bDfeG5DJ375GVZrVaCFAA4sSoHqdatW9uDVHp6uho0aKDAwMBS23p6eqply5YaMmSIJk+e7NhMgTrKo2kreQXdVNvTAADUgCoHqau3O3Bzc9OwYcP07rvvVuecAAAA6gSHFpsvW7ZMN93Ev7QBAED95FCQGjt2bHXNAwAAoM5xaB8pAACA+qxKd6RCQ0NlsVj02WefqU2bNgoNDa10X4vFotTU1CpPEAAAwFlVKUidOXNGFotFhYWF9p8r6+otEwAAAFxBlYLUd999J0m68cYbi/0MAABQH1UpSAUHB5f7MwAAQH3CYnMAAACTCFIAAAAmVenR3iOPPGL6QBaLRe+8847p/gAAAM6mSkEqPj7e9IEIUgAAwNVUKUgtW7aspuYBAABQ51QpSPFKGAAAgP+PxeYAAAAmEaQAAABMqtKjvffee0+S9MADD8jPz8/+c2WNGTOmSu0BAACcWZWC1Lhx42SxWBQeHi4/Pz/7z5VFkAIAAK6kSkFqzJgxslgsCggIKPYzAABAfeTQPlKO7CsFAABQ17HYHAAAwCSCFAAAgEnVEqS++eYbTZo0SR06dJCvr68aNmyo9u3ba9KkSfr666+r4xAAAABOx+Eg9dZbb6lr165aunSpTp48qYsXLyo3N1cpKSlasmSJ7rjjDr3xxhvVMVcAAACn4lCQ2rhxox5//HFdunRJ//mf/6mPP/5YX331lb766iv9z//8j4YOHarLly/rqaee0saNG6trzgAAAE6hSt/a+72///3vslgsWr16tYYNG1as7tZbb9Wf/vQnffjhhxo+fLj+/ve/6+6773ZosgAAAM7EoTtSBw8eVFhYWIkQdbWhQ4fqrrvu0sGDBx05FAAAgNNxKEhZLBa1bdu2wnZt27Zl404AAOByHApSt99+u1JSUipsl5KSok6dOjlyKAAAAKfjUJCaOnWq9u/fr9WrV5fZJjExUfv379dTTz3lyKEAAACcTpUWm6enpxf7+Y477tBTTz2l0aNH68MPP9SYMWPUpk0bSdJ3332n5cuXa/369Xrqqad05513Vt+sAQAAnECVglRISEipa50Mw9D69eu1fv36Uutee+01vf7667p06ZL5mQIAADiZKgWp1q1bs2gcAADg/1QpSJ05c6aGpgEAAFD38NJiAAAAkwhSAAAAJjn0ipjfy8rKUnZ2tgzDKLW+devW1Xk4AACAWuVwkDp//rxeeOEFrVmzRj///HOZ7SwWC9/aAwAALsWhIJWVlaXw8HCdOnVK1113nXx8fHTx4kXdcMMNyszMlGEYslgs3IkCAAAuyaEg9Y9//EMpKSkaO3as/vnPf2ry5Mlavny5fvjhB128eFHLly9XTEyM+vbtq/j4+GqaMoCalJ6eLqvVaqpvYGAg/3ACUK84FKQ+/vhjBQYGatGiRfL29i62x1SDBg00ceJEde7cWb169VKPHj00YcKEKo2/f/9+xcbGas+ePSosLFSnTp00depUDR8+vNJj5Ofna/78+Vq+fLkyMjLUpEkT3XvvvZo9e7auv/76UvsUFBRo4cKFWrVqlb799ltJUnBwsPr27au33nqrSucA1CXp6elq36Gj8nIvmurv7dNA3544TpgCUG84FKROnz6t3r17y9vbW5LsQery5cu67rrrJEnh4eH6wx/+oHfeeadKQWrbtm2KjIyUt7e3RowYIT8/P61du1ZRUVHKyMjQtGnTKhzDZrNp8ODBSkpKUnh4uIYMGaKUlBTFxcVpy5Yt2rdvn5o1a1asz/nz5zVo0CB98cUX6tGjhyZOnCjpyitvEhMTCVJwaVarVXm5F9X03mnyaNqqSn0Lz2Xo3Ccvy2q1EqQA1BsOLzZv3Lix/c8NGjSQdCWMBAYG2stbt26tTz75pNJjXrp0SePHj5ebm5t27typLl26SJJeeOEFhYWFKSYmRkOHDlVwcHC54yQkJCgpKUkjR47UypUr7UHv7bff1uTJkzVjxgwtXry4WJ9HHnlE+/fv18qVKzVq1KgS8wLqA4+mreQVdFNtTwMAnJ5D+0i1aNFCP/zwg/3non+Ffvnll8XanT59Wu7ulc9sW7duVWpqqkaNGmUPUZIUEBCgmJgYFRQUKCEhocJxli5dKkmaN29esceOEydOVGhoqFauXKnc3Fx7+b59+/TRRx9p9OjRJUKUpCqdAwAAcH0OBalOnTrZ1xBJUu/evWUYhmJjY/Xbb79JklasWKHk5GTdcsstlR53+/btkqSBAweWqIuMjJQk7dixo9wx8vLylJycrPbt25e4c2WxWDRgwABduHBBBw4csJcnJiZKkoYNGyar1ap3331X8+bN04oVK3Tu3LlKzx8AANQPDt1iGTRokNavX69t27YpIiJCf/jDH9SzZ0/t3r1bTZo0kb+/v3799VdZLBY988wzlR43JSVFktSuXbsSdUFBQfL19bW3KUtqaqpsNlupY1w9dkpKinr37i1JOnjwoL1s9OjRys7Otrf39fVVXFycoqKiyj1ufn6+8vPz7T9fPQYAAHAtDt2RGjlypD7//HPdfPPN9rJ169bp3nvvlXRlrVSjRo30yiuv6M9//nOlx83KypJ05VFeafz9/e1tHBnj6naS9NNPP0mSnnnmGd1///1KTU3V+fPntWLFCrm5uemhhx4q8djy9+bNm6eAgAD7p1Wrqi3YBQAAdYdDd6R8fX3Vs2fPYmXNmjXTxx9/rIsXLyorK0vNmzeXm1vdeKWfzWaTdOWRZXx8vH1d1YMPPqjs7GxNmTJFb7zxhuLi4socIzo6WlOnTrX/nJ2dTZjCNWd2L6jjx4/XwGwAwHXV2OrpBg0a2L/FV1VFd5HKuuuUnZ1d7NuCZse4ut3Vf/7zn/9cbHG6JN13332aMmVKsTVVpfHy8pKXl1e5bYCa5OheUACAyqvWIJWZmanvv/9ehmGoZcuWuuGGG0yNc/X6pTvuuKPEMXJychQWFlbuGKGhoXJzcytzLVVp67Dat2+vAwcOqFGjRiXaF5Vd/S0/wBk5shdU7ukDyvp8RQ3NDABcT7U8c1u6dKk6dOigG2+8UXfddZfCw8PVsmVLdejQocQ+TZXRt29fSdKmTZtK1CUlJRVrUxYfHx+FhYXp22+/VVpaWrE6wzC0efNmNWzYUN27d7eX//GPf5QkffPNNyXGKyoLCQmp/IkAtahoL6iqfNwDmtf2tAGgTnEoSNlsNkVFRWnSpEk6efKkDMNQkyZN1KRJExmGoZMnT2rKlCkaNmyYff1RZfTv31+hoaFatWqVjhw5Yi/PysrS3Llz5enpqTFjxtjLf/zxR504caLEY7yindSjo6NlGIa9fPHixTp9+rQefPBB+fj42MuHDh2qwMBArVy5Ul999ZW9vKCgQLGxsZJUpdfTAAAA1+ZQkFq4cKHWrFmjwMBAvfnmm8rOztbPP/+sn3/+WdnZ2Vq4cKGuv/56rVu3TgsXLqz0uO7u7oqLi5PNZlOfPn00YcIETZs2TZ07d9bJkyc1d+7cYneGoqOj1bFjR61fv77YOGPHjlVkZKTef/999ejRQ88++6yGDh2qKVOmqE2bNpo9e3ax9v7+/lq6dKkKCwsVHh6usWPH6sknn1S3bt20ceNG3XPPPRo3bpwjlwwAALgQh4LUO++8Iy8vL23fvl1//etf5evra6/z9fXVlClTtHXrVnl4eJT7TbfSREREaNeuXerZs6cSExO1aNEiNW/eXKtXr67Ue/Ykyc3NTRs2bNDMmTP1888/69VXX9Xu3bv16KOPau/evSXesydJ999/v3bs2KE+ffro448/1qJFiyRJ8+fP14YNG+zvEAQAAHBosXlKSor69eunjh07ltmmY8eOioiIqHAn8tKEhYVp48aNFbaLj49XfHx8qXVeXl6KjY21P5qrjJ49e1bquAAAoH5z6I6Ur69vhdsQSFdebHz13SoAAABX4NAdqV69eik5OVk2m63MTTdtNpuSk5PVo0cPRw4F1EtmNshkU00AuHYcClIzZ85UeHi4nnzySS1YsECenp7F6gsLCzVt2jRlZmZq3bp1Dk0UqE8u55yXLBaNHj26tqcCAChHlYLUe++9V6Ls4Ycf1ltvvaV169Zp+PDhatOmjSTpu+++05o1a3T27FlNmjRJR48eVefOnatn1oCLs+XnSIbBppoA4OSqFKTGjRtX4tUp0pUNLs+ePavXX3+9RLkkvf3223r77beL7f0EoGJFm2pWReG5jBqaDQDg96oUpMaMGVNqkAIAAKiPqhSkytpiAAAAoD6qlnftAQAA1EcOfWvv9wzD0Llz5yRJTZo0KXNLBAAAAFdQLUlny5YtGjRokHx9fdW8eXM1b95cfn5+uvvuu7Vly5bqOAQAAIDTcThIzZo1SwMHDtSmTZuUm5srwzBkGIZyc3OVlJSkgQMHlng5MAAAgCtwKEh99tlnmjlzpjw8PPTYY4/p8OHDys7OVnZ2to4cOaLHH39cnp6eio2N1datW6trzgAAAE7BoSD1xhtvyGKxaMOGDXrjjTfUuXNn+fr6ytfXV7fffrtef/11bdiwQZJK7DEFAABQ1zkUpIreoRcZGVlmm4EDB6pHjx7au3evI4cCAABwOg4FqV9//VXBwcEVtgsODlZWVpYjhwIAAHA6DgWpwMBAnThxosJ2J06cUGBgoCOHAgAAcDoOBamePXvq8OHDWrVqVZltVq5cqUOHDqlXr16OHAoAAMDpOLQh59NPP61169ZpzJgx+uijjzR27Fi1adNGknT69GnFx8fro48+0nXXXafp06dXy4QBAACchUNB6s4779SiRYv017/+VR9++KHWrl1brN4wDLm7u+utt97SnXfe6dBEAQAAnI3DG3KOHz9ehw4d0iOPPKLQ0FB5eXnJy8tLoaGhevTRR3Xo0CGNHz++OuYKAADgVBy6I5Weni6LxaLbbrtNcXFx1TUnAACAOsGhO1IhISEaMWJEdc0FAACgTnEoSPn7+9sXlwMAANQ3DgWpW265RRkZGdU1FwAAgDrFoTVS48eP1/jx47V//36+lVfHpKeny2q1Vrnf8ePHa2A2AADUTQ4FqYcffliHDx/WwIED9fTTT2vIkCEKCQmRl5dXdc0PNSA9PV3tO3RUXu7F2p4KAAB1mkNB6rrrrrP/+fnnn9fzzz9fZluLxaJLly45cjhUE6vVqrzci2p67zR5NG1Vpb65pw8o6/MVNTQzAADqFoeClGEYNdIW14ZH01byCrqpSn0Kz7EmDgCAIg4FKZvNVl3zAAAAqHNMBalTp05p3bp1OnPmjLy8vNS1a1cNGzZMPj4+1T0/AAAAp1XlIPXaa6/pmWee0eXLl4uVz5gxQ//7v/+r2267rdomBwAA4MyqtI/Url27NG3aNF26dEkNGjRQ165d1bZtW1ksFn3//fcaMmQIj/sAAEC9UaUgtXDhQhmGobFjxyozM1MHDhzQyZMndejQIbVt21anTp3Sp59+WlNzBQAAcCpVClJ79+5Vy5YttXjxYjVs2NBefvvtt+v111+XYRjat29ftU8SAADAGVUpSP373/9W9+7d5enpWaKuV69ekqSffvqpemYGAADg5KoUpAoKCtSoUaNS6/z9/e1tAAAA6gOHXloMAABQn1V5+4NTp07pvffeM1U/ZsyYqh4OAADAaVU5SO3evVu7d+8utc5isZRZb7FYCFIAAMClVClItW7dWhaLpabmAgAAUKdUKUidOXOmhqYBAABQ97DYHAAAwCSCFAAAgElOHaT279+ve+65R40aNVLDhg0VHh6uDz74oEpj5Ofna9asWWrXrp28vb3VokULTZgwodIbh95zzz2yWCzy9vY2cwoAAMCFVflbe9fKtm3bFBkZKW9vb40YMUJ+fn5au3atoqKilJGRoWnTplU4hs1m0+DBg5WUlKTw8HANGTJEKSkpiouL05YtW7Rv3z41a9aszP5Lly5VUlKSvL29ZRhGdZ4eAABwAU55R+rSpUsaP3683NzctHPnTi1ZskQvv/yyjh49qptvvlkxMTFKS0urcJyEhAQlJSVp5MiR2rNnj1566SWtXbtW//znP3X69GnNmDGjzL5nzpzRtGnTNHXqVDVv3rw6Tw8AALgIpwxSW7duVWpqqkaNGqUuXbrYywMCAhQTE6OCggIlJCRUOM7SpUslSfPmzSu2bcPEiRMVGhqqlStXKjc3t0Q/wzD0yCOP6IYbbtCsWbMcPyEAAOCSnDJIbd++XZI0cODAEnWRkZGSpB07dpQ7Rl5enpKTk9W+fXsFBwcXq7NYLBowYIAuXLigAwcOlOj75ptvaseOHXr33Xfl4+NTpbnn5+crOzu72AcAALgmpwxSKSkpkqR27dqVqAsKCpKvr6+9TVlSU1Nls9lKHePqsX8/TkpKiqKjo/XEE0+oZ8+eVZ77vHnzFBAQYP+0atWqymMAAIC6wSmDVFZWlqQrj/JK4+/vb2/jyBhXt5OuLE4fO3asbrjhBs2ZM6fK85ak6OhoZWVl2T8ZGRmmxgEAAM7Pab+1Vxv+8Y9/aN++fdq2bZsaNGhgagwvLy95eXlV88wAAIAzcso7UkV3kcq665SdnV3mnaaqjHF1u5MnTyo2NlZTpkxR3759Tc0bAADUL04ZpMpavyRJmZmZysnJKXPtU5HQ0FC5ubmVuZbq9+uwvvnmG+Xn5+utt96SxWIp9klLS1N+fr79519//dWBswMAAK7CKR/t9e3bV/PmzdOmTZs0YsSIYnVJSUn2NuXx8fFRWFiY9u3bp7S0tGLf3DMMQ5s3b1bDhg3VvXt3SVJISIgeffTRUsdKTExUbm6uxo0bJ0k8ugPKcfz4cVP9AgMD1bp162qeDQDULKcMUv3791doaKhWrVqlJ554wr6XVFZWlubOnStPT0+NGTPG3v7HH39UVlaWbrjhhmKP/CZMmKB9+/YpOjpaK1eutO8ltXjxYp0+fVoTJkywb2/QpUsXxcXFlTqfzz77TJmZmWXWA5Au55yXLBaNHj3aVH9vnwb69sRxwhSAOsUpg5S7u7vi4uIUGRmpPn36FHtFTFpamhYsWKCQkBB7++joaCUkJGjZsmX2u0aSNHbsWCUmJur999/Xd999p759++rUqVNat26d2rRpo9mzZ1/7kwNclC0/RzIMNb13mjyaVm3bj8JzGTr3ycuyWq0EKQB1ilMGKUmKiIjQrl27FBsbq8TERBUWFqpTp06aP3++oqKiKjWGm5ubNmzYoJdeeknLly/Xq6++qiZNmujRRx/V7Nmzy33PHgBzPJq2klfQTbU9DQC4Jpw2SElSWFiYNm7cWGG7+Ph4xcfHl1rn5eWl2NhYxcbGmp7HmTNnTPcFAACuyym/tQcAAFAXEKQAAABMIkgBAACYRJACAAAwiSAFAABgEkEKAADAJIIUAACASQQpAAAAkwhSAAAAJhGkAAAATCJIAQAAmESQAgAAMIkgBQAAYBJBCgAAwCSCFAAAgEkEKQAAAJMIUgAAACYRpAAAAEwiSAEAAJhEkAIAADCJIAUAAGASQQoAAMAkghQAAIBJBCkAAACT3Gt7AjAvPT1dVqu1yv2OHz9eA7MBAKD+IUjVUenp6WrfoaPyci/W9lQAAKi3CFJ1lNVqVV7uRTW9d5o8mraqUt/c0weU9fmKGpoZAAD1B0GqjvNo2kpeQTdVqU/huYwamg0AAPULi80BAABMIkgBAACYRJACAAAwiSAFAABgEkEKAADAJL61B6DOM7s5rSQFBgaqdevW1TwjAPUFQQpAnebo5rTePg307YnjhCkAphCkANRpjmxOW3guQ+c+eVlWq5UgBcAUghQAl2Bmc1oAcBSLzQEAAEzijhQAp3H8+PFr0gcAqgtBCkCtu5xzXrJYNHr06NqeCgBUCUEKQK2z5edIhmFqwXju6QPK+nxFDc0MAMpHkALgNMwsGC88l1FDswGAijn1YvP9+/frnnvuUaNGjdSwYUOFh4frgw8+qNIY+fn5mjVrltq1aydvb2+1aNFCEyZM0E8//VSi7ZEjR/T8888rPDxc119/vby8vBQaGqopU6bohx9+qK7TAgAALsJp70ht27ZNkZGR8vb21ogRI+Tn56e1a9cqKipKGRkZmjZtWoVj2Gw2DR48WElJSQoPD9eQIUOUkpKiuLg4bdmyRfv27VOzZs3s7SdNmqTk5GSFhYVpxIgR8vLyUnJyshYtWqQ1a9bo888/V4cOHWrytAEAQB3ilEHq0qVLGj9+vNzc3LRz50516dJFkvTCCy8oLCxMMTExGjp0qIKDg8sdJyEhQUlJSRo5cqRWrlwpi8UiSXr77bc1efJkzZgxQ4sXL7a3f/DBB7VixQrddFPxRwvz58/Xs88+q2nTpulf//pX9Z4sAACos5zy0d7WrVuVmpqqUaNG2UOUJAUEBCgmJkYFBQVKSEiocJylS5dKkubNm2cPUZI0ceJEhYaGauXKlcrNzbWXP/744yVClCRNnz5dPj4+2rFjhwNnBQAAXI1TBqnt27dLkgYOHFiiLjIyUpIqDDV5eXlKTk5W+/btS9y5slgsGjBggC5cuKADBw5UOB+LxSIPDw+5uzvlDTwAAFBLnDJIpaSkSJLatWtXoi4oKEi+vr72NmVJTU2VzWYrdYyrx65oHEn68MMPlZ2dXWqw+738/HxlZ2cX+wAAANfklEEqKytL0pVHeaXx9/e3t3FkjKvblSUjI0NPPPGEfHx89N///d/ltpWuPEYMCAiwf1q1qtqeOAAAoO5wyiDlLM6dO6d77rlHP/30k5YsWaL27dtX2Cc6OlpZWVn2T0YGe9wAAOCqnHLRT9FdpLLuFmVnZ6tx48YOj3F1u987d+6c+vfvr2PHjmnRokWVfnWFl5eXvLy8KtUWQN2Xnp4uq9Vqqm9gYKBat25dzTMCcC05ZZC6ev3SHXfcUawuMzNTOTk5CgsLK3eM0NBQubm5lbkGqrx1WEUh6ujRo3rrrbc0ceJEM6cBwMWlp6erfYeOysu9aKq/t08DfXviOGEKqMOcMkj17dtX8+bN06ZNmzRixIhidUlJSfY25fHx8VFYWJj27duntLS0Yt/cMwxDmzdvVsOGDdW9e/di/a4OUW+++aamTJlSTWcFwNVYrVbl5V409Y7AwnMZOvfJy7JarQQpoA5zyjVS/fv3V2hoqFatWqUjR47Yy7OysjR37lx5enpqzJgx9vIff/xRJ06cKPEYb8KECZKurFsyDMNevnjxYp0+fVoPPvigfHx87OW//PKL/uM//kNHjx7V66+/rscee6yGzhCAKyl6R2BVPlUNXgCck1PekXJ3d1dcXJwiIyPVp0+fYq+ISUtL04IFCxQSEmJvHx0drYSEBC1btkzjxo2zl48dO1aJiYl6//339d1336lv3746deqU1q1bpzZt2mj27NnFjvuf//mfOnLkiDp06KBffvlFM2fOLDG3J598Uo0aNaqZEwcAAHWKUwYpSYqIiNCuXbsUGxurxMREFRYWqlOnTpo/f76ioqIqNYabm5s2bNigl156ScuXL9err76qJk2a6NFHH9Xs2bOLvWdPks6cOSNJOnHihF588cVSxxw3bhxBCgAASHLiICVJYWFh2rhxY4Xt4uPjFR8fX2qdl5eXYmNjFRsbW+E4RUEKAACgMpxyjRQAAEBdQJACAAAwyakf7QHAtXD8+PFr2g+A6yBIAai3LueclyyWSr+5AAB+jyAFoN6y5edIhmFqQ01Jyj19QFmfr6iBmVWMV9MAzoEgBaDeK9pQs6oKz9XOS8l5NQ3gPAhSAFDH8GoawHkQpACgjjJ7Jw1A9WH7AwAAAJMIUgAAACYRpAAAAEwiSAEAAJhEkAIAADCJb+0BQC0y85oZXk0DOA+CFADUAl5PA7gGghQA1AJHXk9Tm6+mAVAcQQoAapGZTTVr69U0AEpisTkAAIBJBCkAAACTCFIAAAAmEaQAAABMIkgBAACYRJACAAAwiSAFAABgEkEKAADAJIIUAACASQQpAAAAkwhSAAAAJhGkAAAATCJIAQAAmORe2xMAAFx7x48fN9UvMDBQrVu3rubZAHUXQQoA6pHLOecli0WjR4821d/bp4G+PXGcMAX8H4IUANQjtvwcyTDU9N5p8mjaqkp9C89l6NwnL8tqtRKkgP9DkAKAesijaSt5Bd10TY+Znp4uq9Vqqq8jjxRr67ioHwhSAIAal56ervYdOiov96Kp/mYfKdbWcVF/EKQAADXOarUqL/fiNX+kWFvHRf1BkAIAVImZb/wV9XHkkWJtHRcoD0EKAFApjn7jr64dF6gMghQAoFIc+cZf7ukDyvp8RZ06LlAZBCkAQJWYeUxWeC6jzh4XKA+viAEAADCJIAUAAGASj/YAACiH2fcS5ufny8vLq970ra+bpjp1kNq/f79iY2O1Z88eFRYWqlOnTpo6daqGDx9e6THy8/M1f/58LV++XBkZGWrSpInuvfdezZ49W9dff32pfVauXKnXX39dx44dk6enp3r27KlZs2apW7du1XVqAAAn5/C3BS1ukmGrN33r66apThuktm3bpsjISHl7e2vEiBHy8/PT2rVrFRUVpYyMDE2bNq3CMWw2mwYPHqykpCSFh4dryJAhSklJUVxcnLZs2aJ9+/apWbNmxfrMmTNHM2bMUHBwsCZNmqTffvtNq1evVo8ePbRlyxb17Nmzpk4ZAOBEquPbgvWlb33eNNUpg9SlS5c0fvx4ubm5aefOnerSpYsk6YUXXlBYWJhiYmI0dOhQBQcHlztOQkKCkpKSNHLkSK1cuVIWi0WS9Pbbb2vy5MmaMWOGFi9ebG+fkpKimTNn6uabb9YXX3yhgIAASdKUKVMUHh6u8ePH6+uvv5abG0vLAKC+cOTbgvWlb3Woq5umOmUi2Lp1q1JTUzVq1Ch7iJKkgIAAxcTEqKCgQAkJCRWOs3TpUknSvHnz7CFKkiZOnKjQ0FCtXLlSubm59vJly5bp0qVLeu655+whSpK6dOmikSNH6vjx49q1a1c1nCEAAHAFThmktm/fLkkaOHBgibrIyEhJ0o4dO8odIy8vT8nJyWrfvn2JO1cWi0UDBgzQhQsXdODAgWo9LgAAqD+c8tFeSkqKJKldu3Yl6oKCguTr62tvU5bU1FTZbLZSx7h67JSUFPXu3dv+Z19fXwUFBZXbvjz5+fnKz8+3/5yVlSVJys7OLrdfVeXk5Fw5XuYp2QryqtS36PYtfelLX/N9a/PY9KWv0/X95XtJ0sGDB+1/P1XWt99+6/Bxc3Jyqv3v2aLxDMMov6HhhAYMGGBIMlJSUkqtb9GiheHv71/uGLt37zYkGQ8++GCp9UuWLDEkGa+88oq9zMPDw7jxxhtLbX/y5ElDknHfffeVe9zY2FhDEh8+fPjw4cPHBT4ZGRnl/r3vlHek6rLo6GhNnTrV/rPNZtMvv/yipk2bFlunVR9kZ2erVatWysjIkL+/f21Pp1ZwDbgGEtegvp+/xDWQ6t41MAxDv/32m1q0aFFuO6cMUkULvYsei/1edna2Gjdu7PAYV7cr+nNV2pfGy8urxGZmjRo1KrePq/P3968T/9HUJK4B10DiGtT385e4BlLdugYV/Z0vOeli8/LWI2VmZionJ6fMtU9FQkND5ebmVuaaptLWYbVr1045OTnKzMysVHsAAFC/OWWQ6tu3ryRp06ZNJeqSkpKKtSmLj4+PwsLC9O233yotLa1YnWEY2rx5sxo2bKju3btX63EBAED94ZRBqn///goNDdWqVat05MgRe3lWVpbmzp0rT09PjRkzxl7+448/6sSJEyUey02YMEHSlXVLxlWr7hcvXqzTp0/rwQcflI+Pj7384Ycflru7u+bMmVNsrCNHjuj9999Xx44d1atXr+o+XZfl5eWl2NhY0+9tcgVcA66BxDWo7+cvcQ0k170GFsOo6Ht9taOsV8SkpaVpwYIFxV4RM27cOCUkJGjZsmUaN26cvdxms+mee+6xvyKmb9++OnXqlNatW6eQkBAlJyeX+4qYIUOG2F8RU1BQwCtiAABAMU55R0qSIiIitGvXLvXs2VOJiYlatGiRmjdvrtWrV1fqPXuS5Obmpg0bNmjmzJn6+eef9eqrr2r37t169NFHtXfv3hIhSpKee+45rVixQs2aNdOiRYv0wQcfqHfv3tqzZw8hCgAAFOO0d6QAAACcndPekQIAAHB2BCkAAACTCFIwZcWKFZo4caK6d+8uLy8vWSwWxcfHl9k+OztbU6dOVXBwsLy8vBQSEqKnn366yu9kchY//PCDXnvtNQ0cOFCtW7eWp6engoKCNGTIECUnJ5fax9WuQV5enqZOnao+ffqoRYsW8vb2VlBQkHr27Klly5apsLCwRB9XuwalmT9/viwWiywWi/bt21ei3tWuQUhIiP18f//p169fifb5+fmaNWuW2rVrJ29vb7Vo0UITJkzQTz/9dO0nX83Wr1+vAQMGqGnTpvL29labNm00cuRIZWRkFGvnar8D8fHxZf4OFH369+9frI8rXQPWSMGUkJAQpaWlKTAwUA0bNlRaWlqJb00WuXDhgnr16qUjR45o4MCB6tq1qw4fPqxNmzbpzjvv1M6dO+Xt7X3tT8IBzz77rObPn6+2bduqX79+atasmVJSUvTRRx/JMAytWrVKUVFR9vaueA2sVqtatWqlsLAw3XzzzWrWrJnOnz+vjRs3Ki0tTQMHDtTGjRvl5nbl32uueA1+7+uvv1b37t3l7u6uCxcuaO/evQoPD7fXu+I1CAkJ0a+//qonn3yy1LqKvkmdkpKi9evXq02bNtq3b1+pXwJydoZhaNKkSVqyZInatm2ryMhI+fn56ezZs9qxY4dWrlxp3zrHFX8Hjhw5oo8++qjUug8//FDHjh3T/Pnz9cwzz0hywWtQ7pv4gDJs3rzZOHPmjGEYhjFv3jxDkrFs2bJS277wwguGJONvf/tbsfK//e1vhiRj7ty5NT3dard27Vpj+/btJcp37txpeHh4GI0bNzby8vLs5a54DS5fvmzk5+eXKC8sLDT69etnSDI++eQTe7krXoOrFRQUGN26dTPuuusuY/To0YYkY+/evcXauOI1CA4ONoKDgyvV9t133zUkGSNHjjRsNpu9fNGiRYYkY8KECTU0y5r12muvGZKMKVOmGJcuXSpRX1hYaP+zK/4OlCU/P99o2rSp4e7ubmRmZtrLXe0aEKTgsPKClM1mM1q0aGH4+voaOTk5xepycnIMX19fIzQ09BrN9NoYOHCgIcnYv3+/YRj18xq8/vrrhiTjtddeMwyjflyD2NhYw8vLyzh27JgxduzYEkHKVa9BVYLUH/7wB0OS/R9hRWw2mxEaGmo0bNjQuHjxYg3MsuZcvHjRaNy4sREaGlosMJXGVX8HypKYmGhIMu6//357mSteA9ZIoUalpKTo7Nmz6tmzpxo2bFisrmHDhurZs6dOnz5dYg1BXebh4SFJcne/8k7w+nYNbDabPv30U0nSbbfdJsn1r8GhQ4c0Z84cxcbG6pZbbim1jStfg/z8fMXHx2vu3LlauHBhqesE8/LylJycrPbt2ys4OLhYncVi0YABA3ThwgUdOHDgWk27WmzatEnnz5/X/fffr8uXL2vdunV66aWX9Pbbb+vUqVPF2rry70Bp4uLiJEl/+ctf7GWueA0IUqhRFb3subwXVNdF6enp+uyzz3TDDTeoU6dOklz/GhQUFGjmzJmKjY3VY489pltvvVUbN27Uww8/bF9g6srXID8/X2PGjFGXLl3sa0BK48rXIDMzUw8//LCee+45Pf744woPD1dYWJhSU1PtbVJTU2Wz2Vzu/A8ePChJuu6663T77bdryJAhio6O1uTJk9W+fXtNnz7d3taVfwd+Ly0tTVu2bFHLli01aNAge7krXgP32p4AXFvROwsDAgJKrff39y/Wri4rLCzUQw89pPz8fM2fP1/XXXedJNe/BgUFBXrxxRftP1ssFk2fPl3z5s2zl7nyNXjhhReUkpKigwcP2v83L42rXoOHH35YvXv31m233SZfX1+dPHlSr7zyipYvX67+/fvrq6++kp+fn8uef9G3DV955RV169ZNX3zxhTp27KjDhw9rwoQJevnll9W2bVtNnjzZZa9BaZYtWyabzaZx48YV++/CFa8Bd6SAalD0fxg7d+7U+PHj9dBDD9X2lK4ZX19fGYahy5cvKyMjQ2+99Zbi4uLUr18/ZWdn1/b0atTevXu1YMECzZgxw/4Ys76JjY3VH//4R11//fVq0KCBunTpovfee08PPfSQ0tLStHTp0tqeYo2y2WySJE9PT3300Ue688475evrq969e2vNmjVyc3PTyy+/XMuzvLZsNpuWLVsmi8WiRx55pLanU+MIUqhRRf/qKOtfF0V/0Zb1r5O6wGaz6ZFHHtGqVas0evRovf3228Xq68M1kK6827Jly5aaPHmylixZot27d2vOnDmSXPMaXLp0SWPHjtXtt9+uZ599tsL2rngNyjNx4kRJ0u7duyW57vkXzbd79+5q0aJFsbrbbrtNoaGhSk1N1a+//uqy1+D3PvvsM6Wnp+uPf/yj2rRpU6zOFa8Bj/ZQoyp63l3R83JnZ7PZ9PDDD+u9997TyJEjFR8fb983qYirX4PSDBw4UJK0fft2Sa55DXJycuzz9vT0LLXNH/7wB0lXNmosWoTuStegPIGBgZKu7BkkSaGhoXJzc3O582/fvr0kqVGjRqXWF5Xn5ua65H8HpSltkXkRV7wGBCnUqHbt2qlFixbavXu3Lly4UOxbGhcuXNDu3bvVpk0btWrVqhZnac7VISoqKkrLly8vdY2MK1+Dspw9e1bS//8GoyteAy8vLz366KOl1u3cuVMpKSm677771KxZM4WEhLjkNShP0Tf3QkJCJEk+Pj4KCwvTvn37lJaWVuybe4ZhaPPmzWrYsKG6d+9eG9M1LSIiQpJ0/PjxEnWFhYU6deqUGjZsqGbNmikoKMjlfwfOnTunDRs2qEmTJnrggQdK1Lvkfwe1vf8C6r76uCHn5cuX7XsFDRs2rML9Y1zxGhw7dsy4cOFCifILFy4YgwYNMiQZc+bMsZe74jUoS2n7SBmG612D48ePl/o7cPz4cSMoKMiQZOzYscNe7qobchbtHbd06dJi5bNmzTIkGaNHj7aXudrvwO+9+uqrhiTjiSeeKLONq10DXhEDU+Li4rRr1y5J0ldffaVDhw6pZ8+euummmyRJvXr1st/WvXDhgnr27KmjR49q4MCB6tatmw4dOmR/HcCOHTvk4+NTa+dixsyZM/Xiiy/K19dX//Vf/2XfM+pq999/v7p06SLJda/BK6+8ol69eikkJET+/v764YcftHHjRp07d069e/dWUlKS/bxc8RqUZdy4cUpISCj1FTGudA2Kfgf69Omj4OBgNWzYUCdPntT//u//qrCwUNHR0Zo7d669fWmviDl16pTWrVunkJAQJScn18lXxKSmpqpHjx766aef9Kc//UkdOnTQ4cOHtXXrVgUHB2vfvn0KCgqS5Hq/A7/XqVMnff311/ryyy/tW8D8nstdg9pOcqibiv7FXdZn7Nixxdr/+uuvxpNPPmm0atXK8PDwMFq3bm1MmzbNyM7Orp0TcFBF569S7tC52jXYv3+/MX78eOPWW281GjVqZLi7uxtNmzY1IiIijMWLF5d6l87VrkFZyrojZRiudQ22b99uDB8+3GjXrp3h7+9vuLu7G0FBQcbgwYONpKSkUvvk5eUZM2fONNq2bWt4enoaQUFBxl/+8pdirxCpi9LT041x48YZQUFBhoeHh9GqVSvjr3/9q/Hvf/+7RFtX+h24WnJysiHJCAsLq7CtK10D7kgBAACYxPYHAAAAJhGkAAAATCJIAQAAmESQAgAAMIkgBQAAYBJBCgAAwCSCFAAAgEkEKQAAAJMIUgAAACYRpAAAAEwiSAFALYmPj5fFYtG4ceNqeyoATCJIAQAAmESQAgAAMIkgBaBeuXjxol577TX16tVLjRs3lpeXl4KDg/XnP/9Zq1atKtH2pZdeUrdu3eTn56cGDRro1ltv1YwZM3T+/PlSxz948KCioqLUsmVLeXp6yt/fX6GhoRoyZIg2bNhgbxcSEqKHH35YkpSQkCCLxWL/9OvXr8bOH0D1shiGYdT2JADgWsjIyNCgQYP0zTffqEGDBurZs6eaNm2qH374QV9++aUaNWqkM2fOSJJ++eUX9e/fX0eOHJG/v7/69esnDw8P7dixQ1arVW3atNHWrVsVEhJiH3/Lli26++67VVhYqM6dO6tdu3a6fPmyfvjhBx09elSDBg3SRx99JEmaPn269u3bp927d6tt27bq1auXfZwOHTro2WefvYZXBoBpBgDUA5cvXza6d+9uSDIGDhxo/PTTT8Xqc3NzjX/961/2n6OiogxJxl133WVYrVZ7+W+//WbcfffdhiSjR48excaIiIgwJBkrVqwocfxff/3V2Lt3b7GyZcuWGZKMsWPHVsMZAqgNPNoDUC/8z//8jw4cOKAbbrhBa9euVbNmzYrVe3t765577pEkpaena82aNbJYLFqyZImaNm1qb+fr66ulS5fK29tbe/bs0Z49e+x1//73vyXJPs7VAgICFB4eXhOnBqAWEaQA1AuffvqpJGnUqFHy9fUtt+3OnTtls9nUtWtX3X777SXqb7zxRkVGRkqStm3bZi8PCwuTJD344IPatWuXLl26VF3TB+CkCFIA6oW0tDRJV9YfVeSHH36QJLVp06bMNm3bti3WVpLmzZunbt26aePGjerdu7f8/f3Vq1cvzZgxQ8ePH3dk+gCcFEEKAKpJUFCQDhw4oG3btum5557TXXfdpUOHDmnOnDm69dZbNX/+/NqeIoBqRpACUC+0bt1aknTixIkK2954442SpNOnT5fZpqiuqG2Rou0LZs+erW3btumXX37RokWLZLFYFBMTo9TUVLOnAMAJEaQA1AuDBg2SJL3//vu6cOFCuW379OkjNzc3HTlyREePHi1R/+OPP9rXXEVERJQ7lre3tyZNmqTbb79dNptNX375pb3O09NTklhLBdRhBCkA9cJ9992nrl276uzZsxo2bJjOnTtXrD4vL08bN26UdOXu1bBhw2QYhiZOnFis7YULFzRhwgTl5eWpR48e6tGjh71uwYIFSk9PL3HsEydOKCUlRZIUHBxsL2/ZsqUk6Ztvvqm+EwVwTbEhJ4B6Iy0tTZGRkfr222/VoEED9erVy74h59GjR4ttyHnu3Dn1799fR48eVUBAgCIiIuTu7q4dO3bo559/LnVDzkaNGikrK0sdOnRQx44d5ePjo7Nnz9q/wTdmzBglJCTY2xcUFKhNmzY6e/asunbtqk6dOsnDw0Pt27fX008/fY2vDgAzCFIA6pWcnBz985//1IcffqgTJ06ooKBAQUFB6ty5s0aNGqWoqCh724sXL+qNN95QYmKiTp48KZvNpjZt2uiBBx7Q9OnT1bhx42Jjr1y5Ulu2bNH+/ft19uxZXbhwQUFBQbrllls0YcIEDR48WBaLpVifr7/+Ws8995z27t2rc+fOyWazqW/fvtq+ffu1uBwAHESQAgAAMIk1UgAAACYRpAAAAEwiSAEAAJhEkAIAADCJIAUAAGASQQoAAMAkghQAAIBJBCkAAACTCFIAAAAmEaQAAABMIkgBAACYRJACAAAw6f8B829zjSrZo/cAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "optimization_result[\"cost\"].plot(\n",
    "    kind=\"hist\", bins=30, edgecolor=\"black\", weights=optimization_result[\"probability\"]\n",
    ")\n",
    "plt.ylabel(\"Probability\", fontsize=16)\n",
    "plt.xlabel(\"cost\", fontsize=16)\n",
    "plt.tick_params(axis=\"both\", labelsize=14)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "54b9fe66-3413-4ec2-8234-f5c048dccb18",
   "metadata": {},
   "source": [
    "## Best solution visulalization"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "a6c01f4d-ca8a-40ca-8ce3-8d969c9aa42a",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T16:07:24.250484Z",
     "iopub.status.busy": "2024-05-07T16:07:24.249969Z",
     "iopub.status.idle": "2024-05-07T16:07:24.519581Z",
     "shell.execute_reply": "2024-05-07T16:07:24.518880Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "**QAOA SOLUTION**"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "total cost=  3.599999999999998\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<style type=\"text/css\">\n",
       "#T_97caa_row0_col0, #T_97caa_row0_col1, #T_97caa_row0_col2, #T_97caa_row0_col3, #T_97caa_row1_col0, #T_97caa_row1_col1, #T_97caa_row1_col2, #T_97caa_row1_col3, #T_97caa_row2_col0, #T_97caa_row2_col1, #T_97caa_row2_col2, #T_97caa_row2_col3 {\n",
       "  background-color: #F43764;\n",
       "}\n",
       "</style>\n",
       "<table id=\"T_97caa\">\n",
       "  <thead>\n",
       "    <tr>\n",
       "      <th class=\"blank level0\" >&nbsp;</th>\n",
       "      <th id=\"T_97caa_level0_col0\" class=\"col_heading level0 col0\" >B1</th>\n",
       "      <th id=\"T_97caa_level0_col1\" class=\"col_heading level0 col1\" >B2</th>\n",
       "      <th id=\"T_97caa_level0_col2\" class=\"col_heading level0 col2\" >B3</th>\n",
       "      <th id=\"T_97caa_level0_col3\" class=\"col_heading level0 col3\" >B4</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th id=\"T_97caa_level0_row0\" class=\"row_heading level0 row0\" >A1</th>\n",
       "      <td id=\"T_97caa_row0_col0\" class=\"data row0 col0\" >1</td>\n",
       "      <td id=\"T_97caa_row0_col1\" class=\"data row0 col1\" >0</td>\n",
       "      <td id=\"T_97caa_row0_col2\" class=\"data row0 col2\" >0</td>\n",
       "      <td id=\"T_97caa_row0_col3\" class=\"data row0 col3\" >1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th id=\"T_97caa_level0_row1\" class=\"row_heading level0 row1\" >A2</th>\n",
       "      <td id=\"T_97caa_row1_col0\" class=\"data row1 col0\" >0</td>\n",
       "      <td id=\"T_97caa_row1_col1\" class=\"data row1 col1\" >1</td>\n",
       "      <td id=\"T_97caa_row1_col2\" class=\"data row1 col2\" >0</td>\n",
       "      <td id=\"T_97caa_row1_col3\" class=\"data row1 col3\" >0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th id=\"T_97caa_level0_row2\" class=\"row_heading level0 row2\" >A3</th>\n",
       "      <td id=\"T_97caa_row2_col0\" class=\"data row2 col0\" >0</td>\n",
       "      <td id=\"T_97caa_row2_col1\" class=\"data row2 col1\" >0</td>\n",
       "      <td id=\"T_97caa_row2_col2\" class=\"data row2 col2\" >1</td>\n",
       "      <td id=\"T_97caa_row2_col3\" class=\"data row2 col3\" >0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n"
      ],
      "text/plain": [
       "<pandas.io.formats.style.Styler at 0x7fd0ffbf5610>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# This function plots the solution in a table and a graph\n",
    "\n",
    "\n",
    "def plotting_sol(x_sol, cost, is_classic: bool):\n",
    "    x_sol_to_mat = np.reshape(np.array(x_sol), [N, M])  # vector to matrix\n",
    "    # opened facilities will be marked in red\n",
    "    opened_fac_dict = {}\n",
    "    for fa in range(N):\n",
    "        if sum(x_sol_to_mat[fa, m] for m in range(M)) > 0:\n",
    "            opened_fac_dict.update({Sources[fa]: \"background-color: #F43764\"})\n",
    "\n",
    "    # classical or quantum\n",
    "    if is_classic == True:\n",
    "        display(Markdown(\"**CLASSICAL SOLUTION**\"))\n",
    "        print(\"total cost= \", cost)\n",
    "    else:\n",
    "        display(Markdown(\"**QAOA SOLUTION**\"))\n",
    "        print(\"total cost= \", cost)\n",
    "\n",
    "    # plotting in a table\n",
    "    df = pd.DataFrame(x_sol_to_mat)\n",
    "    df.columns = Consumers\n",
    "    df.index = Sources\n",
    "    plotable = df.style.apply(lambda x: x.index.map(opened_fac_dict))\n",
    "    display(plotable)\n",
    "\n",
    "    # plotting in a graph\n",
    "    graph_sol = nx.DiGraph()\n",
    "    graph_sol.add_nodes_from(Sources + Consumers)\n",
    "    for n, m in product(range(N), range(M)):\n",
    "        if x_sol_to_mat[n, m] > 0:\n",
    "            graph_sol.add_edges_from(\n",
    "                [(Sources[n], Consumers[m])], weight=cost_matrix[n, m]\n",
    "            )\n",
    "\n",
    "    plt.figure(figsize=(10, 6))\n",
    "    left = nx.bipartite.sets(graph_sol, top_nodes=Sources)[0]\n",
    "    pos = nx.bipartite_layout(graph_sol, left)\n",
    "\n",
    "    nx.draw_networkx(\n",
    "        graph_sol, pos=pos, nodelist=Consumers, font_size=22, font_color=\"None\"\n",
    "    )\n",
    "    nx.draw_networkx_nodes(\n",
    "        graph_sol, pos, nodelist=Consumers, node_color=\"#119DA4\", node_size=500\n",
    "    )\n",
    "    for fa in Sources:\n",
    "        x, y = pos[fa]\n",
    "        if fa in opened_fac_dict.keys():\n",
    "            plt.text(\n",
    "                x,\n",
    "                y,\n",
    "                s=fa,\n",
    "                bbox=dict(facecolor=\"#F43764\", alpha=1),\n",
    "                horizontalalignment=\"center\",\n",
    "                fontsize=15,\n",
    "            )\n",
    "        else:\n",
    "            plt.text(\n",
    "                x,\n",
    "                y,\n",
    "                s=fa,\n",
    "                bbox=dict(facecolor=\"#F4F9E9\", alpha=1),\n",
    "                horizontalalignment=\"center\",\n",
    "                fontsize=15,\n",
    "            )\n",
    "\n",
    "    nx.draw_networkx_edges(graph_sol, pos, width=2)\n",
    "    labels = nx.get_edge_attributes(graph_sol, \"weight\")\n",
    "    nx.draw_networkx_edge_labels(graph, pos, edge_labels=labels, font_size=12)\n",
    "    nx.draw_networkx_labels(\n",
    "        graph_sol,\n",
    "        pos,\n",
    "        labels={co: co for co in Consumers},\n",
    "        font_size=15,\n",
    "        font_color=\"#F4F9E9\",\n",
    "    )\n",
    "\n",
    "    plt.axis(\"off\")\n",
    "    plt.show()\n",
    "\n",
    "\n",
    "best_solution = optimization_result.loc[optimization_result.cost.idxmin()]\n",
    "\n",
    "plotting_sol(best_solution.solution, best_solution.cost, is_classic=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9900c91e-23dd-47b8-9699-ae75f3013db2",
   "metadata": {},
   "source": [
    "### Compare to a classical solver"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "1eb5cf32-d8a4-4020-ab5b-39f19d9bd1bb",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T16:07:24.522513Z",
     "iopub.status.busy": "2024-05-07T16:07:24.521882Z",
     "iopub.status.idle": "2024-05-07T16:07:24.555246Z",
     "shell.execute_reply": "2024-05-07T16:07:24.554592Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'Problem': [{'Lower bound': -inf, 'Upper bound': inf, 'Number of objectives': 1, 'Number of constraints': 0, 'Number of variables': 12, 'Sense': 'unknown'}], 'Solver': [{'Status': 'ok', 'Message': 'couenne\\\\x3a Optimal', 'Termination condition': 'optimal', 'Id': 3, 'Error rc': 0, 'Time': 0.016887187957763672}], 'Solution': [OrderedDict([('number of solutions', 0), ('number of solutions displayed', 0)])]}"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from pyomo.opt import SolverFactory\n",
    "\n",
    "solver = SolverFactory(\"couenne\")\n",
    "solver.solve(opt_model)\n",
    "\n",
    "# opt_model.display()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "1585aef7-d330-4c54-8d26-dae6434c5573",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T16:07:24.557726Z",
     "iopub.status.busy": "2024-05-07T16:07:24.557523Z",
     "iopub.status.idle": "2024-05-07T16:07:24.847967Z",
     "shell.execute_reply": "2024-05-07T16:07:24.847231Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "**CLASSICAL SOLUTION**"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "total cost=  2.4999999996418167\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<style type=\"text/css\">\n",
       "#T_40f17_row0_col0, #T_40f17_row0_col1, #T_40f17_row0_col2, #T_40f17_row0_col3, #T_40f17_row1_col0, #T_40f17_row1_col1, #T_40f17_row1_col2, #T_40f17_row1_col3, #T_40f17_row2_col0, #T_40f17_row2_col1, #T_40f17_row2_col2, #T_40f17_row2_col3 {\n",
       "  background-color: #F43764;\n",
       "}\n",
       "</style>\n",
       "<table id=\"T_40f17\">\n",
       "  <thead>\n",
       "    <tr>\n",
       "      <th class=\"blank level0\" >&nbsp;</th>\n",
       "      <th id=\"T_40f17_level0_col0\" class=\"col_heading level0 col0\" >B1</th>\n",
       "      <th id=\"T_40f17_level0_col1\" class=\"col_heading level0 col1\" >B2</th>\n",
       "      <th id=\"T_40f17_level0_col2\" class=\"col_heading level0 col2\" >B3</th>\n",
       "      <th id=\"T_40f17_level0_col3\" class=\"col_heading level0 col3\" >B4</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th id=\"T_40f17_level0_row0\" class=\"row_heading level0 row0\" >A1</th>\n",
       "      <td id=\"T_40f17_row0_col0\" class=\"data row0 col0\" >1.000000</td>\n",
       "      <td id=\"T_40f17_row0_col1\" class=\"data row0 col1\" >0.000000</td>\n",
       "      <td id=\"T_40f17_row0_col2\" class=\"data row0 col2\" >0.000000</td>\n",
       "      <td id=\"T_40f17_row0_col3\" class=\"data row0 col3\" >0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th id=\"T_40f17_level0_row1\" class=\"row_heading level0 row1\" >A2</th>\n",
       "      <td id=\"T_40f17_row1_col0\" class=\"data row1 col0\" >0.000000</td>\n",
       "      <td id=\"T_40f17_row1_col1\" class=\"data row1 col1\" >1.000000</td>\n",
       "      <td id=\"T_40f17_row1_col2\" class=\"data row1 col2\" >0.000000</td>\n",
       "      <td id=\"T_40f17_row1_col3\" class=\"data row1 col3\" >1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th id=\"T_40f17_level0_row2\" class=\"row_heading level0 row2\" >A3</th>\n",
       "      <td id=\"T_40f17_row2_col0\" class=\"data row2 col0\" >0.000000</td>\n",
       "      <td id=\"T_40f17_row2_col1\" class=\"data row2 col1\" >-0.000000</td>\n",
       "      <td id=\"T_40f17_row2_col2\" class=\"data row2 col2\" >1.000000</td>\n",
       "      <td id=\"T_40f17_row2_col3\" class=\"data row2 col3\" >0.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n"
      ],
      "text/plain": [
       "<pandas.io.formats.style.Styler at 0x7fd0ffbd6dd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "best_classical_solution = np.array(\n",
    "    [pyo.value(opt_model.x[idx]) for idx in np.ndindex(cost_matrix.shape)]\n",
    ").reshape(cost_matrix.shape)\n",
    "\n",
    "plotting_sol(\n",
    "    np.round([pyo.value(opt_model.x[idx]) for idx in np.ndindex(cost_matrix.shape)]),\n",
    "    pyo.value(opt_model.cost),\n",
    "    is_classic=True,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2fa6c00e-18b1-4415-a538-3d9d80cf9aaa",
   "metadata": {},
   "source": [
    "<a id='OpPower'>[1]</a>: Solving optimization problems when designing power supply circuits. https://www.e3s-conferences.org/articles/e3sconf/pdf/2019/50/e3sconf_ses18_04011.pdf\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
